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Finding the Fourth Proportional to 506.41, 759.16 and 181.70

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Solution

The fourth proportional to 506.41, 759.16 and 181.70 is: 272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.41 : 759.16 = 181.70 : x
  2. Step 2: Convert to fraction form
    506.41/759.16 = 181.70/x
  3. Step 3: Cross multiply
    506.41x = 759.16 × 181.70
  4. Step 4: Simplify right side
    506.41x = 137,937.63
  5. Step 5: Solve for x
    x = 137,937.63/506.41
  6. Step 6: Final answer
    x = 272.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.